Package: GeodRegr
Type: Package
Title: Geodesic Regression
Version: 0.2.0
Authors@R: c(
  person("Ha-Young", "Shin", email = "hayoung.shin@gmail.com", role = c("aut", "cre")),
  person("Hee-Seok", "Oh", role = "aut"))
Description: Provides a gradient descent algorithm to find a geodesic
        relationship between real-valued independent variables and a
        manifold-valued dependent variable (i.e. geodesic regression).
        Available manifolds are Euclidean space, the sphere, hyperbolic
        space, and Kendall's 2-dimensional shape space. Besides the
        standard least-squares loss, the least absolute deviations,
        Huber, and Tukey biweight loss functions can also be used to
        perform robust geodesic regression. Functions to help choose
        appropriate cutoff parameters to maintain high efficiency for
        the Huber and Tukey biweight estimators are included, as are
        functions for generating random tangent vectors from the
        Riemannian normal distributions on the sphere and hyperbolic
        space. The n-sphere is a n-dimensional manifold: we represent
        it as a sphere of radius 1 and center 0 embedded in
        (n+1)-dimensional space. Using the hyperboloid model of
        hyperbolic space, n-dimensional hyperbolic space is embedded in
        (n+1)-dimensional Minkowski space as the upper sheet of a
        hyperboloid of two sheets. Kendall's 2D shape space with K
        landmarks is of real dimension 2K-4; preshapes are represented
        as complex K-vectors with mean 0 and magnitude 1. Details are
        described in Shin, H.-Y. and Oh, H.-S. (2020)
        <arXiv:2007.04518>. Also see Fletcher, P. T. (2013)
        <doi:10.1007/s11263-012-0591-y>.
Depends: R (>= 4.0.0)
License: GPL-3
Encoding: UTF-8
LazyData: true
RoxygenNote: 7.1.1
Imports: MASS (>= 7.3.51.6), zipfR (>= 0.6.66), stats (>= 4.0.1)
URL: https://github.com/hayoungshin1/GeodRegr
BugReports: https://github.com/hayoungshin1/GeodRegr/issues
Repository: https://hayoungshin1.r-universe.dev
Date/Publication: 2021-08-28 04:19:56 UTC
RemoteUrl: https://github.com/hayoungshin1/geodregr
RemoteRef: HEAD
RemoteSha: c8246e405d8d3fe9e7682adc62cb7145f4fe8ace
NeedsCompilation: no
Packaged: 2026-07-12 06:59:33 UTC; root
Author: Ha-Young Shin [aut, cre],
  Hee-Seok Oh [aut]
Maintainer: Ha-Young Shin <hayoung.shin@gmail.com>